A domain decomposition method for the parallelization of a three-dimensional Maxwell solver based on a constrained formulation

Franck Assous, J. Segré and E. Sonnendrücker

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 11, 2371-2388

Abstract: The numerical solution of very large three-dimensional electromagnetic field problems are challenging for various applications in the industry. In this paper, we propose a nonoverlapping domain decomposition approach for solving the three-dimensional Maxwell equations on MIMD computers, based on a mixed variational formulation. It is especially well adapted for the solution of the Vlasov–Maxwell equations, widely used to simulate complex devices like particle injectors or accelerators. This approach has the important property that it leads to reuse without modification most of an existing sequential code. The continuity at the interfaces is imposed by duality using Lagrange multipliers. Hence, the resulting parallel algorithm requires only to add an external preconditioned Uzawa solver. We present the results of some numerical experiments on a parallel distributed memory machine.

Keywords: Maxwell equations; Lagrange multipliers; Domain decomposition; Parallelization (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2011:i:11:p:2371-2388

DOI: 10.1016/j.matcom.2011.03.001

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